Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

Factor the expression: 25x² - 36y²

Back

(5x + 6y)(5x - 6y)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is the perfect square trinomial formula?

Back

The perfect square trinomial formula states that (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b².

Front

Factor the expression: 4x² - 25

Back

(2x + 5)(2x - 5)

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the difference of cubes formula?

Back

The difference of cubes formula states that a³ - b³ = (a - b)(a² + ab + b²).

Front

Factor the expression: 2x³ + 128

Back

2(x + 4)(x² - 4x + 16)